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Simplifying 75y4 + -48y2 = 0 Reorder the terms: -48y2 + 75y4 = 0 Solving -48y2 + 75y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y2'. 3y2(-16 + 25y2) = 0 Factor a difference between two squares. 3y2((4 + 5y)(-4 + 5y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(4 + 5y)' equal to zero and attempt to solve: Simplifying 4 + 5y = 0 Solving 4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 0 + -4 5y = 0 + -4 Combine like terms: 0 + -4 = -4 5y = -4 Divide each side by '5'. y = -0.8 Simplifying y = -0.8Subproblem 3
Set the factor '(-4 + 5y)' equal to zero and attempt to solve: Simplifying -4 + 5y = 0 Solving -4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8Solution
y = {0, -0.8, 0.8}
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